Least Common Multiple of 10335 and 10342

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 10335 and 10342 by Prime method
• Least Common Multiple of 10335 and 10342 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10335 and 10342. First we will calculate the prime factors of 10335 and 10342.

Prime Factorization of 10335

Prime factors of 10335 are 3, 5, 13,53. Prime factorization of 10335 in exponential form is:

10335 = 3¹×5¹×13¹×53¹

Prime Factorization of 10342

Prime factors of 10342 are 2,5171. Prime factorization of 10342 in exponential form is:

10342 = 2¹×5171¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10335 and 10342.

LCM(10335,10342) = 2¹×3¹×5¹×13¹×53¹×5171¹
LCM(10335,10342) = 106884570

Factors of 10335

List of positive integer factors of 10335 that divides 10335 without a remainder.

1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335

Factors of 10342

List of positive integer factors of 10342 that divides 10342 without a remainder.

1, 2, 5171, 10342

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10335 and 10342, than apply into the LCM equation.

GCF(10335,10342) = 1
LCM(10335,10342) = ( 10335 × 10342) / 1
LCM(10335,10342) = 106884570 / 1
LCM(10335,10342) = 106884570

(i) The LCM of 10342 and 10335 is associative

LCM of 10335 and 10342 = LCM of 10342 and 10335

1. What is the LCM of 10335 and 10342?

Answer: LCM of 10335 and 10342 is 106884570.

2. What are the Factors of 10335?

Answer: Factors of 10335 are 1, 3, 5, 13, 15, 39, 53, 65, 159, 195, 265, 689, 795, 2067, 3445, 10335. There are 16 integers that are factors of 10335. The greatest factor of 10335 is 10335.

3. What are the Factors of 10342?

Answer: Factors of 10342 are 1, 2, 5171, 10342. There are 4 integers that are factors of 10342. The greatest factor of 10342 is 10342.

4. How to Find the LCM of 10335 and 10342?

Answer:

Least Common Multiple of 10335 and 10342 = 106884570

Step 1: Find the prime factorization of 10335

10335 = 3 x 5 x 13 x 53

Step 2: Find the prime factorization of 10342

10342 = 2 x 5171

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 106884570 = 2 x 3 x 5 x 13 x 53 x 5171

Step 4: Therefore, the least common multiple of 10335 and 10342 is 106884570.